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Finding the Third Proportional to 23,847.75 and 52,452

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Solution

The third proportional to 23,847.75 and 52,452 is: 115,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.75 : 52,452 = 52,452 : x
  2. Step 2: Convert to fraction form
    23,847.75/52,452 = 52,452/x
  3. Step 3: Cross multiply
    23,847.75x = 52,452 × 52,452
  4. Step 4: Simplify right side
    23,847.75x = 2,751,212,304
  5. Step 5: Solve for x
    x = 2,751,212,304/23,847.75
  6. Step 6: Final answer
    x = 115,365.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.